The following lines are 4x + 2y = 8 and y = 2x + 4
parallel
perpendicular
skew
intersecting

Option D.

Step-by-step explanation:

The slope intercept form of a line is

where, m is slope and b is y-intercept.

The given lines are

      ...(i)

       ... (ii)

Rewrite the equation (i) in slope intercept form.

Divide both sides by 2.

      ...(iii)

On comparing equation (iii) with slope intercept form, we get

On comparing equation (ii) with slope intercept form, we get

Since , therefore lines are not parallel.

Since , therefore lines are not perpendicular.

Both lines lies on same plane, i.e., xy-plane, so they are not skew line.

Since both lines lie on same plane and they neither parallel nor perpendicular, therefore they intersecting lines.

Hence, option D is correct.

add the table and i will answer correctly

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)